Solve using elimination.
–10x − 6y = 16
10x + 7y = –7
You asked:
Solve the system of equations \(-\left( 10 x \right) - 6 y = 16\), \(10 x + 7 y = -7\) by elimination.
MathBot Answer:
\[\begin{aligned}x &= -7\\y &= 9\end{aligned}\]
\[\begin{aligned}- 10 x - 6 y &= 16\\10 x + 7 y &= -7\end{aligned}\]
Eliminate \(x\) from equation 2 by multiply both sides of equation 1 by \(1\), and adding the results to both sides of equation 2.
\[\begin{aligned}- 10 x - 6 y &= 16\\y &= 9\end{aligned}\]
Solve equation 2 for \(y\), and substitute the solution into the remaining equations.
\[\begin{aligned}- 10 x &= 70\\y &= 9\end{aligned}\]
Solve equation 1 for the remaining unknown \(x\).
\[\begin{aligned}x &= -7\\y &= 9\end{aligned}\]